### Abstract

Language | English |
---|---|

Pages | 887-899 |

Number of pages | 13 |

Journal | Ocean Engineering |

Volume | 35 |

Issue number | 8-9 |

DOIs | |

Status | Published - 2008 |

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### Cite this

**Numerical simulation of non-linear regular and focused waves in an infinite water-depth.** / Ning, D Z; Teng, B; Eatock Taylor, R; Zang, Jun.

Research output: Contribution to journal › Article

*Ocean Engineering*, vol. 35, no. 8-9, pp. 887-899. DOI: 10.1016/j.oceaneng.2008.01.015

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TY - JOUR

T1 - Numerical simulation of non-linear regular and focused waves in an infinite water-depth

AU - Ning,D Z

AU - Teng,B

AU - Eatock Taylor,R

AU - Zang,Jun

PY - 2008

Y1 - 2008

N2 - Inviscid three-dimensional free surface wave motions are simulated using a novel quadratic higher order boundary element model (HOBEM) based on potential theory for irrotational, incompressible fluid flow in an infinite water-depth. The free surface boundary conditions are fully non-linear. Based on the use of images, a channel Green function is developed and applied to the present model so that two lateral surfaces of an infinite-depth wave tank can be excluded from the calculation domain. In order to generate incident waves and dissipate outgoing waves, a non-reflective wave generator, composed of a series of vertically aligned point sources in the computational domain, is used in conjunction with upstream and downstream damping layers. Numerical experiments are carried out, with linear and fully non-linear, regular and focused waves. It can be seen from the results that the present approach is effective in generating a specified wave profile in an infinite water-depth without reflection at the open boundaries, and fully non-linear numerical simulations compare well with theoretical solutions. The present numerical technique is aimed at efficient modelling of the non-linear wave interactions with ocean structures in deep water.

AB - Inviscid three-dimensional free surface wave motions are simulated using a novel quadratic higher order boundary element model (HOBEM) based on potential theory for irrotational, incompressible fluid flow in an infinite water-depth. The free surface boundary conditions are fully non-linear. Based on the use of images, a channel Green function is developed and applied to the present model so that two lateral surfaces of an infinite-depth wave tank can be excluded from the calculation domain. In order to generate incident waves and dissipate outgoing waves, a non-reflective wave generator, composed of a series of vertically aligned point sources in the computational domain, is used in conjunction with upstream and downstream damping layers. Numerical experiments are carried out, with linear and fully non-linear, regular and focused waves. It can be seen from the results that the present approach is effective in generating a specified wave profile in an infinite water-depth without reflection at the open boundaries, and fully non-linear numerical simulations compare well with theoretical solutions. The present numerical technique is aimed at efficient modelling of the non-linear wave interactions with ocean structures in deep water.

UR - http://www.scopus.com/inward/record.url?scp=42049100347&partnerID=8YFLogxK

UR - http://dx.doi.org/10.1016/j.oceaneng.2008.01.015

U2 - 10.1016/j.oceaneng.2008.01.015

DO - 10.1016/j.oceaneng.2008.01.015

M3 - Article

VL - 35

SP - 887

EP - 899

JO - Ocean Engineering

T2 - Ocean Engineering

JF - Ocean Engineering

SN - 0029-8018

IS - 8-9

ER -